## Abstract Let __A__ be a selfβadjoint operator and __Ο__ its cyclic vector. In this work we study spectral properties of rank one perturbations of __A__ __A~ΞΈ~__ = __A__ + __ΞΈ__ γ__Ο__ , Β·γ__Ο__ in relation to their dependence on the real parameter __ΞΈ__ . We find bounds on averages of spectr
Determinacy of Bounded Complex Perturbations of Jacobi Matrices
β Scribed by Mirta Castro Smirnova
- Publisher
- Elsevier Science
- Year
- 2000
- Tongue
- English
- Weight
- 94 KB
- Volume
- 104
- Category
- Article
- ISSN
- 0021-9045
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π SIMILAR VOLUMES
## Abstract We consider Hamiltonian matrices obtained by means of symmetric and positive definite matrices and analyse some perturbations that maintain the eigenvalues on the imaginary axis of the complex plane. To obtain this result we prove for such matrices the existence of a diagonal form or, a
helmut wielandt zum 90. geburtstag Let A and B be stochastic matrices of the same type n n . It is natural to consider perturbations A t of A of the form Now, the following two questions come up immediately. (1) When does lim kββ A t k exist? (2) How does lim kββ A t k behave for small t? As the